The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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Answer:
-1.1 cups
Step-by-step explanation:
To find out how much was spent on the main bottle of detergent, we must add the expenses that were incurred in the wash.
The statement tells us that first there is an expense of 0.4 cups of laundry detergent while washing one load of laundry and 0.7 coupon another load, therefore this means that the change in the bottle would be:
(-0.4) + (-0.7) = -0.4 - 0.7 = -1.1 cups.
In other words, the main bottle would have 1.1 cups less, that is, -1.1 cups.
Answer:
Vertex form: f(x)=8(x+\frac{1}{4}
Step-by-step explanation:
Answer:
correct option is △XYZ ~ △X'Y'Z'.
Step-by-step explanation:
since ΔXYZ is dilated by some scale factor so, the resulting triangle can not be congruent to the ΔXYZ. so option 2 is wrong.
as we have explained that the two triangles are not congruent then it's sides and angles also can't be congruent so, option 3 is also incorrect.
As we don't know by what factor the triangle XYZ is dilated so we can't say anything about correctness of option 4 and 5.
ΔXYZ was reflected over a vertical line and then dilated so the resulting ΔX'Y'Z' is similar to ΔXYZ.
i.e., △XYZ ~ △X'Y'Z'.
If he buys x pens and y pencils
3x + y = 10
x ≤ y
You draw the line 3x + y = 10 .<span>(it passes by (0,10) and (-10/3,0)
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<span>You Draw the line y=x [it passes by (0,0), (1,1), (2,2)]
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<span>Solution: is the points with integer x and y, that belong to the segment of the
line 3x +y = 10 between the x-axis and the line y=x. Those points are
(1,7) , (2,4), (3, 1).
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Hope this helps ^-^